Modular Inverses

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This is a visual map of multiplicative inverses modulo . The integers from
to
are placed clockwise on a circular number line with
at the top. Two integers that are inverses modulo
are connected by an arrow. An integer that is its own inverse is marked by a colored dot. Those integers that have no inverse modulo
are not marked.
Contributed by: Aaron Dunigan AtLee (March 2011)
Open content licensed under CC BY-NC-SA
Snapshots
Details
Snapshot 1: for , all integers that have inverses are inverses of themselves
Snapshot 2: for some values of , the inverse map demonstrates four-fold rotational symmetry
Snapshot 3: for prime , all integers have inverses, so the map is much more detailed
Permanent Citation